Finding the Third Proportional to 37,458.50 and 81,820

Step by Step Solution

1. Step 1: Write the proportion equation
   37,458.50 : 81,820 = 81,820 : x
2. Step 2: Convert to fraction form
   37,458.50/81,820 = 81,820/x
3. Step 3: Cross multiply
   37,458.50x = 81,820 × 81,820
4. Step 4: Simplify right side
   37,458.50x = 6,694,512,400
5. Step 5: Solve for x
   x = 6,694,512,400/37,458.50
6. Step 6: Final answer
   x = 178,718.11